TSTP Solution File: LAT399-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT399-2 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 17:23:10 EDT 2024
% Result : Unsatisfiable 2.42s 2.64s
% Output : Proof 3.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : LAT399-2 : TPTP v8.2.0. Released v8.1.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 27 14:18:39 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.20/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.42/2.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.NhWIrsOa5h/cvc5---1.0.5_2567.smt2
% 2.42/2.64 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.NhWIrsOa5h/cvc5---1.0.5_2567.smt2
% 3.15/3.34 (assume a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 3.15/3.34 (assume a1 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.meet Y Z)) (tptp.meet (tptp.meet X Y) Z))))
% 3.15/3.34 (assume a2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 3.15/3.34 (assume a3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.join Y Z)) (tptp.join (tptp.join X Y) Z))))
% 3.15/3.34 (assume a4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))
% 3.15/3.34 (assume a5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))
% 3.15/3.34 (assume a6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upme X Y Z) (tptp.meet X (tptp.join Y Z)))))
% 3.15/3.34 (assume a7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lome X Y Z) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))))
% 3.15/3.34 (assume a8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.upjo X Y Z) (tptp.meet (tptp.join X Y) (tptp.join X Z)))))
% 3.15/3.34 (assume a9 (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted)) (= (tptp.lojo X Y X1) (tptp.join X (tptp.meet Y X1)))))
% 3.15/3.34 (assume a10 (forall ((X1 $$unsorted) (Y1 $$unsorted) (W $$unsorted)) (= (tptp.join (tptp.upme (tptp.meet tptp.a X1) Y1 W) (tptp.meet Y1 W)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a X1) Y1) W) (tptp.join (tptp.meet (tptp.meet tptp.a X1) W) Y1)))))
% 3.15/3.34 (assume a11 (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))))
% 3.15/3.34 (step t1 (cl (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (not (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) (not (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (not (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet 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tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a 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tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (not (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule and_neg)
% 3.15/3.34 (step t2 (cl (=> (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (and (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule implies_neg1)
% 3.15/3.34 (anchor :step t3)
% 3.15/3.34 (assume t3.a0 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.a1 (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.15/3.34 (assume t3.a2 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34 (assume t3.a3 (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))
% 3.15/3.34 (assume t3.a4 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34 (assume t3.a5 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34 (assume t3.a6 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))
% 3.15/3.34 (assume t3.a7 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a8 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))))
% 3.15/3.34 (assume t3.a9 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))
% 3.15/3.34 (assume t3.a10 (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))
% 3.15/3.34 (assume t3.a11 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.a12 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 3.15/3.34 (assume t3.a13 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 3.15/3.34 (assume t3.a14 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.15/3.34 (assume t3.a15 (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.a16 (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a17 (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))))
% 3.15/3.34 (assume t3.a18 (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.a19 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a20 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a21 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34 (assume t3.a22 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))
% 3.15/3.34 (assume t3.a23 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a24 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a25 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a26 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))
% 3.15/3.34 (assume t3.a27 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a28 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.a29 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a30 (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.a31 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))
% 3.15/3.34 (assume t3.a32 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34 (assume t3.a33 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34 (assume t3.a34 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))
% 3.15/3.34 (assume t3.a35 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.a36 (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34 (assume t3.a37 (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a38 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a39 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34 (assume t3.a40 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a41 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a42 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a43 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a44 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a45 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.a46 (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.a47 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)))
% 3.15/3.34 (assume t3.a48 (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a49 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))
% 3.15/3.34 (assume t3.a50 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.15/3.34 (assume t3.a51 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34 (assume t3.a52 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34 (assume t3.a53 (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.15/3.34 (assume t3.a54 (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34 (assume t3.a55 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.15/3.34 (assume t3.a56 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.15/3.34 (assume t3.a57 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34 (assume t3.a58 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a59 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a60 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34 (assume t3.a61 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a62 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.a63 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.15/3.34 (assume t3.a64 (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))
% 3.15/3.34 (assume t3.a65 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a66 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a67 (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))))
% 3.15/3.34 (assume t3.a68 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34 (assume t3.a69 (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)))
% 3.15/3.34 (assume t3.a70 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34 (assume t3.a71 (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34 (assume t3.a72 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34 (assume t3.a73 (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))
% 3.15/3.34 (assume t3.a74 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a75 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a76 (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))))
% 3.15/3.34 (assume t3.a77 (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))))
% 3.15/3.34 (assume t3.a78 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a79 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34 (assume t3.a80 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a81 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.15/3.34 (assume t3.a82 (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a83 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))
% 3.15/3.34 (assume t3.a84 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a85 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))))
% 3.15/3.34 (assume t3.a86 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.a87 (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a88 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))
% 3.15/3.34 (assume t3.a89 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.15/3.34 (assume t3.a90 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34 (assume t3.a91 (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))
% 3.15/3.34 (assume t3.a92 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34 (assume t3.a93 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34 (assume t3.a94 (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34 (assume t3.a95 (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34 (assume t3.a96 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a97 (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))
% 3.15/3.34 (assume t3.a98 (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.a99 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))
% 3.15/3.34 (assume t3.a100 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))))
% 3.15/3.34 (assume t3.a101 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))
% 3.15/3.34 (assume t3.a102 (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))
% 3.15/3.34 (assume t3.a103 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (step t3.t1 (cl (=> (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) :rule implies_neg1)
% 3.15/3.34 (anchor :step t3.t2)
% 3.15/3.34 (assume t3.t2.a0 (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.15/3.34 (assume t3.t2.a1 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))
% 3.15/3.34 (assume t3.t2.a2 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 3.15/3.34 (assume t3.t2.a3 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.15/3.34 (assume t3.t2.a4 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a5 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a6 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))
% 3.15/3.34 (assume t3.t2.a7 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34 (assume t3.t2.a8 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34 (assume t3.t2.a9 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34 (assume t3.t2.a10 (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a11 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a12 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.15/3.34 (assume t3.t2.a13 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a14 (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))))
% 3.15/3.34 (assume t3.t2.a15 (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34 (assume t3.t2.a16 (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a17 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34 (assume t3.t2.a18 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a19 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.15/3.34 (assume t3.t2.a20 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))
% 3.15/3.34 (assume t3.t2.a21 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))
% 3.15/3.34 (assume t3.t2.a22 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a23 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))
% 3.15/3.34 (assume t3.t2.a24 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))
% 3.15/3.34 (assume t3.t2.a25 (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))
% 3.15/3.34 (assume t3.t2.a26 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a27 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a28 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34 (assume t3.t2.a29 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.15/3.34 (assume t3.t2.a30 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a31 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a32 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.t2.a33 (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.t2.a34 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a35 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.15/3.34 (assume t3.t2.a36 (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a37 (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))))
% 3.15/3.34 (assume t3.t2.a38 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))
% 3.15/3.34 (assume t3.t2.a39 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))
% 3.15/3.34 (assume t3.t2.a40 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a41 (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34 (assume t3.t2.a42 (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))
% 3.15/3.34 (assume t3.t2.a43 (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34 (assume t3.t2.a44 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34 (assume t3.t2.a45 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))
% 3.15/3.34 (assume t3.t2.a46 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34 (assume t3.t2.a47 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.t2.a48 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))))
% 3.15/3.34 (assume t3.t2.a49 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34 (assume t3.t2.a50 (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))))
% 3.15/3.34 (assume t3.t2.a51 (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34 (assume t3.t2.a52 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.t2.a53 (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)))
% 3.15/3.34 (assume t3.t2.a54 (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.t2.a55 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.t2.a56 (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))
% 3.15/3.34 (assume t3.t2.a57 (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.t2.a58 (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.t2.a59 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a60 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a61 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a62 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a63 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a64 (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a65 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)))
% 3.15/3.34 (assume t3.t2.a66 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))
% 3.15/3.34 (assume t3.t2.a67 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34 (assume t3.t2.a68 (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34 (assume t3.t2.a69 (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))
% 3.15/3.34 (assume t3.t2.a70 (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a71 (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))))
% 3.15/3.34 (assume t3.t2.a72 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34 (assume t3.t2.a73 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34 (assume t3.t2.a74 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a75 (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))
% 3.15/3.34 (assume t3.t2.a76 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34 (assume t3.t2.a77 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34 (assume t3.t2.a78 (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a79 (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))))
% 3.15/3.34 (assume t3.t2.a80 (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a81 (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)))
% 3.15/3.34 (assume t3.t2.a82 (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))))
% 3.15/3.34 (assume t3.t2.a83 (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))
% 3.15/3.34 (assume t3.t2.a84 (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a85 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))
% 3.15/3.34 (assume t3.t2.a86 (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a87 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a88 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))
% 3.15/3.34 (assume t3.t2.a89 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))
% 3.15/3.34 (assume t3.t2.a90 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))
% 3.15/3.34 (assume t3.t2.a91 (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))))
% 3.15/3.34 (assume t3.t2.a92 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a93 (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))))
% 3.15/3.34 (assume t3.t2.a94 (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))
% 3.15/3.34 (assume t3.t2.a95 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.t2.a96 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a97 (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))
% 3.15/3.34 (assume t3.t2.a98 (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)))
% 3.15/3.34 (assume t3.t2.a99 (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a100 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a101 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))))
% 3.15/3.34 (assume t3.t2.a102 (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))
% 3.15/3.34 (assume t3.t2.a103 (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))
% 3.15/3.34 (step t3.t2.t1 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule symm :premises (t3.t2.a47))
% 3.15/3.34 (step t3.t2.t2 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t1))
% 3.15/3.34 (step t3.t2.t3 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a76))
% 3.15/3.34 (step t3.t2.t4 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t3.t2.t3))
% 3.15/3.34 (step t3.t2.t5 (cl (= (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t3.t2.a103))
% 3.15/3.34 (step t3.t2.t6 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule symm :premises (t3.t2.t5))
% 3.15/3.34 (step t3.t2.t7 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.a80))
% 3.15/3.34 (step t3.t2.t8 (cl (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t7))
% 3.15/3.34 (step t3.t2.t9 (cl (= (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) tptp.a)) :rule symm :premises (t3.t2.a79))
% 3.15/3.34 (step t3.t2.t10 (cl (= (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) :rule refl)
% 3.15/3.34 (step t3.t2.t11 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t9 t3.t2.t10))
% 3.15/3.34 (step t3.t2.t12 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a78))
% 3.15/3.34 (step t3.t2.t13 (cl (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t8 t3.t2.t11 t3.t2.t12 t3.t2.t1))
% 3.15/3.34 (step t3.t2.t14 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t2 t3.t2.t4))
% 3.15/3.34 (step t3.t2.t15 (cl (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t13 t3.t2.t14))
% 3.15/3.34 (step t3.t2.t16 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.t15))
% 3.15/3.34 (step t3.t2.t17 (cl (= (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) :rule refl)
% 3.15/3.34 (step t3.t2.t18 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t3.t2.t15 t3.t2.t17))
% 3.15/3.34 (step t3.t2.t19 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))))) :rule symm :premises (t3.t2.a77))
% 3.15/3.34 (step t3.t2.t20 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) :rule refl)
% 3.15/3.34 (step t3.t2.t21 (cl (= (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1))) :rule symm :premises (t3.t2.a16))
% 3.15/3.34 (step t3.t2.t22 (cl (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t21))
% 3.15/3.34 (step t3.t2.t23 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule cong :premises (t3.t2.t17 t3.t2.t22))
% 3.15/3.34 (step t3.t2.t24 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) :rule symm :premises (t3.t2.a15))
% 3.15/3.34 (step t3.t2.t25 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) :rule trans :premises (t3.t2.t23 t3.t2.t24))
% 3.15/3.34 (step t3.t2.t26 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t3.t2.t20 t3.t2.t25))
% 3.15/3.34 (step t3.t2.t27 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t18 t3.t2.t19 t3.t2.t26 t3.t2.t3 t3.t2.t1))
% 3.15/3.34 (step t3.t2.t28 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t27 t3.t2.t14))
% 3.15/3.34 (step t3.t2.t29 (cl (= tptp.z3 tptp.z3)) :rule refl)
% 3.15/3.34 (step t3.t2.t30 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule cong :premises (t3.t2.t28 t3.t2.t29))
% 3.15/3.34 (step t3.t2.t31 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule symm :premises (t3.t2.t30))
% 3.15/3.34 (step t3.t2.t32 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a81))
% 3.15/3.34 (step t3.t2.t33 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t31 t3.t2.t32))
% 3.15/3.34 (step t3.t2.t34 (cl (= (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (tptp.join (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t16 t3.t2.t33))
% 3.15/3.34 (step t3.t2.t35 (cl (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t13 t3.t2.t2))
% 3.15/3.34 (step t3.t2.t36 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t12 t3.t2.t1))
% 3.15/3.34 (step t3.t2.t37 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.t13))
% 3.15/3.34 (step t3.t2.t38 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))))) :rule trans :premises (t3.t2.t36 t3.t2.t37))
% 3.15/3.34 (step t3.t2.t39 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule refl)
% 3.15/3.34 (step t3.t2.t40 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t38 t3.t2.t39))
% 3.15/3.34 (step t3.t2.t41 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.t40))
% 3.15/3.34 (step t3.t2.t42 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule symm :premises (t3.t2.t32))
% 3.15/3.34 (step t3.t2.t43 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule symm :premises (t3.t2.t14))
% 3.15/3.34 (step t3.t2.t44 (cl (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) :rule refl)
% 3.15/3.34 (step t3.t2.t45 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule cong :premises (t3.t2.t44 t3.t2.a56))
% 3.15/3.34 (step t3.t2.t46 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a71))
% 3.15/3.34 (step t3.t2.t47 (cl (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a58))
% 3.15/3.34 (step t3.t2.t48 (cl (= (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)) tptp.z2)) :rule symm :premises (t3.t2.a57))
% 3.15/3.34 (step t3.t2.t49 (cl (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join tptp.z3 tptp.z2))) :rule cong :premises (t3.t2.t29 t3.t2.t48))
% 3.15/3.34 (step t3.t2.t50 (cl (= (tptp.join tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) :rule symm :premises (t3.t2.a56))
% 3.15/3.34 (step t3.t2.t51 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t45 t3.t2.t46 t3.t2.t47 t3.t2.t49 t3.t2.t50))
% 3.15/3.34 (step t3.t2.t52 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t51))
% 3.15/3.34 (step t3.t2.t53 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t17 t3.t2.t52))
% 3.15/3.34 (step t3.t2.t54 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a74))
% 3.15/3.34 (step t3.t2.t55 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a75))
% 3.15/3.34 (step t3.t2.t56 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.t55))
% 3.15/3.34 (step t3.t2.t57 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t54))
% 3.15/3.34 (step t3.t2.t58 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule refl)
% 3.15/3.34 (step t3.t2.t59 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule cong :premises (t3.t2.t57 t3.t2.t58))
% 3.15/3.34 (step t3.t2.t60 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule symm :premises (t3.t2.a73))
% 3.15/3.34 (step t3.t2.t61 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))))) :rule symm :premises (t3.t2.a72))
% 3.15/3.34 (step t3.t2.t62 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t3.t2.t61))
% 3.15/3.34 (step t3.t2.t63 (cl (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) tptp.z2)) :rule symm :premises (t3.t2.a70))
% 3.15/3.34 (step t3.t2.t64 (cl (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t63))
% 3.15/3.34 (step t3.t2.t65 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.a69))
% 3.15/3.34 (step t3.t2.t66 (cl (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule symm :premises (t3.t2.t65))
% 3.15/3.34 (step t3.t2.t67 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a23))
% 3.15/3.34 (step t3.t2.t68 (cl (= (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a68))
% 3.15/3.34 (step t3.t2.t69 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule symm :premises (t3.t2.t68))
% 3.15/3.34 (step t3.t2.t70 (cl (= (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule symm :premises (t3.t2.a67))
% 3.15/3.34 (step t3.t2.t71 (cl (= (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule cong :premises (t3.t2.t70 t3.t2.t29))
% 3.15/3.34 (step t3.t2.t72 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a66))
% 3.15/3.34 (step t3.t2.t73 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t67 t3.t2.t69 t3.t2.t71 t3.t2.t72))
% 3.15/3.34 (step t3.t2.t74 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.a23 t3.t2.t73))
% 3.15/3.34 (step t3.t2.t75 (cl (= tptp.z2 tptp.z2)) :rule refl)
% 3.15/3.34 (step t3.t2.t76 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2))) :rule cong :premises (t3.t2.t74 t3.t2.t75))
% 3.15/3.34 (step t3.t2.t77 (cl (= tptp.z2 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2))) :rule trans :premises (t3.t2.t64 t3.t2.t66 t3.t2.t76))
% 3.15/3.34 (step t3.t2.t78 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule cong :premises (t3.t2.t77 t3.t2.a42))
% 3.15/3.34 (step t3.t2.t79 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2))) :rule refl)
% 3.15/3.34 (step t3.t2.t80 (cl (= (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) tptp.z3)) :rule symm :premises (t3.t2.a42))
% 3.15/3.34 (step t3.t2.t81 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule cong :premises (t3.t2.t79 t3.t2.t80))
% 3.15/3.34 (step t3.t2.t82 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a65))
% 3.15/3.34 (step t3.t2.t83 (cl (= (tptp.join tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t78 t3.t2.t81 t3.t2.t82))
% 3.15/3.34 (step t3.t2.t84 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t51 t3.t2.t83))
% 3.15/3.34 (step t3.t2.t85 (cl (= (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule cong :premises (t3.t2.t84 t3.t2.a64))
% 3.15/3.34 (step t3.t2.t86 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) :rule refl)
% 3.15/3.34 (step t3.t2.t87 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a64))
% 3.15/3.34 (step t3.t2.t88 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a63))
% 3.15/3.34 (step t3.t2.t89 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t88))
% 3.15/3.34 (step t3.t2.t90 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a62))
% 3.15/3.34 (step t3.t2.t91 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a61))
% 3.15/3.34 (step t3.t2.t92 (cl (= (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a60))
% 3.15/3.34 (step t3.t2.t93 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t92))
% 3.15/3.34 (step t3.t2.t94 (cl (= (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a55))
% 3.15/3.34 (step t3.t2.t95 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t94))
% 3.15/3.34 (step t3.t2.t96 (cl (= (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.a53 t3.t2.t20))
% 3.15/3.34 (step t3.t2.t97 (cl (= (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a54))
% 3.15/3.34 (step t3.t2.t98 (cl (= (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) tptp.z2)) :rule symm :premises (t3.t2.a33))
% 3.15/3.34 (step t3.t2.t99 (cl (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z3 tptp.z2))) :rule cong :premises (t3.t2.t29 t3.t2.t98))
% 3.15/3.34 (step t3.t2.t100 (cl (= (tptp.meet tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) :rule symm :premises (t3.t2.a53))
% 3.15/3.34 (step t3.t2.t101 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t95 t3.t2.t96 t3.t2.t97 t3.t2.t99 t3.t2.t100))
% 3.15/3.34 (step t3.t2.t102 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a59))
% 3.15/3.34 (step t3.t2.t103 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t102))
% 3.15/3.34 (step t3.t2.t104 (cl (= (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.a56 t3.t2.t44))
% 3.15/3.34 (step t3.t2.t105 (cl (= (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t104 t3.t2.t47 t3.t2.t49 t3.t2.t50))
% 3.15/3.34 (step t3.t2.t106 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.t17 t3.t2.t105))
% 3.15/3.34 (step t3.t2.t107 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t103 t3.t2.t106 t3.t2.t1))
% 3.15/3.34 (step t3.t2.t108 (cl (= (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.t101 t3.t2.t107))
% 3.15/3.34 (step t3.t2.t109 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a52))
% 3.15/3.34 (step t3.t2.t110 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.t1 t3.t2.t44))
% 3.15/3.34 (step t3.t2.t111 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t110))
% 3.15/3.34 (step t3.t2.t112 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t87 t3.t2.t89 t3.t2.t90 t3.t2.t91 t3.t2.t93 t3.t2.t108 t3.t2.t109 t3.t2.t111))
% 3.15/3.34 (step t3.t2.t113 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t86 t3.t2.t112))
% 3.15/3.34 (step t3.t2.t114 (cl (= (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t85 t3.t2.t113 t3.t2.t90 t3.t2.t91 t3.t2.t93 t3.t2.t108 t3.t2.t109 t3.t2.t111))
% 3.15/3.34 (step t3.t2.t115 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t109 t3.t2.t111))
% 3.15/3.34 (step t3.t2.t116 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t115))
% 3.15/3.34 (step t3.t2.t117 (cl (= (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t114 t3.t2.t116))
% 3.15/3.34 (step t3.t2.t118 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t3.t2.t117 t3.t2.t17))
% 3.15/3.34 (step t3.t2.t119 (cl (= (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t3.t2.a52 t3.t2.t17))
% 3.15/3.34 (step t3.t2.t120 (cl (= (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t3.t2.t119))
% 3.15/3.34 (step t3.t2.t121 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t2 t3.t2.t53 t3.t2.t54 t3.t2.t56 t3.t2.t59 t3.t2.t60 t3.t2.t62 t3.t2.t118 t3.t2.t120))
% 3.15/3.34 (step t3.t2.t122 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a49))
% 3.15/3.34 (step t3.t2.t123 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.t122))
% 3.15/3.34 (step t3.t2.t124 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule trans :premises (t3.t2.t111 t3.t2.t123))
% 3.15/3.34 (step t3.t2.t125 (cl (= (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule cong :premises (t3.t2.t111 t3.t2.t124))
% 3.15/3.34 (step t3.t2.t126 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t125))
% 3.15/3.34 (step t3.t2.t127 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule trans :premises (t3.t2.a48 t3.t2.t126))
% 3.15/3.34 (step t3.t2.t128 (cl (= (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule trans :premises (t3.t2.t115 t3.t2.t127))
% 3.15/3.34 (step t3.t2.t129 (cl (= (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t3.t2.t128 t3.t2.t17))
% 3.15/3.34 (step t3.t2.t130 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t43 t3.t2.t121 t3.t2.t119 t3.t2.t129))
% 3.15/3.34 (step t3.t2.t131 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule cong :premises (t3.t2.t130 t3.t2.t29))
% 3.15/3.34 (step t3.t2.t132 (cl (= (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a51))
% 3.15/3.34 (step t3.t2.t133 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a50))
% 3.15/3.34 (step t3.t2.t134 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.t133))
% 3.15/3.34 (step t3.t2.t135 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a48))
% 3.15/3.34 (step t3.t2.t136 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a46))
% 3.15/3.34 (step t3.t2.t137 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.t136))
% 3.15/3.34 (step t3.t2.t138 (cl (= (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule symm :premises (t3.t2.a45))
% 3.15/3.34 (step t3.t2.t139 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule symm :premises (t3.t2.t138))
% 3.15/3.34 (step t3.t2.t140 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule refl)
% 3.15/3.34 (step t3.t2.t141 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t139 t3.t2.t140))
% 3.15/3.34 (step t3.t2.t142 (cl (= (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule trans :premises (t3.t2.t125 t3.t2.t135 t3.t2.t110 t3.t2.t137 t3.t2.t141))
% 3.15/3.34 (step t3.t2.t143 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t39 t3.t2.t142))
% 3.15/3.34 (step t3.t2.t144 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule symm :premises (t3.t2.a44))
% 3.15/3.34 (step t3.t2.t145 (cl (= (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule symm :premises (t3.t2.a43))
% 3.15/3.34 (step t3.t2.t146 (cl (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.t145))
% 3.15/3.34 (step t3.t2.t147 (cl (= (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t80 t3.t2.t140))
% 3.15/3.34 (step t3.t2.t148 (cl (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule trans :premises (t3.t2.t146 t3.t2.t147))
% 3.15/3.34 (step t3.t2.t149 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t17 t3.t2.t148))
% 3.15/3.34 (step t3.t2.t150 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.a41))
% 3.15/3.34 (step t3.t2.t151 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule symm :premises (t3.t2.a9))
% 3.15/3.34 (step t3.t2.t152 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule trans :premises (t3.t2.t40 t3.t2.t42 t3.t2.t30 t3.t2.t131 t3.t2.t132 t3.t2.t134 t3.t2.t143 t3.t2.t144 t3.t2.t149 t3.t2.t150 t3.t2.t151))
% 3.15/3.34 (step t3.t2.t153 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule trans :premises (t3.t2.t41 t3.t2.t152))
% 3.15/3.34 (step t3.t2.t154 (cl (= (tptp.join (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t35 t3.t2.t153))
% 3.15/3.34 (step t3.t2.t155 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a102))
% 3.15/3.34 (step t3.t2.t156 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t155))
% 3.15/3.34 (step t3.t2.t157 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a18))
% 3.15/3.34 (step t3.t2.t158 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a17))
% 3.15/3.34 (step t3.t2.t159 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule symm :premises (t3.t2.t158))
% 3.15/3.34 (step t3.t2.t160 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule cong :premises (t3.t2.t25 t3.t2.t29))
% 3.15/3.34 (step t3.t2.t161 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule trans :premises (t3.t2.t157 t3.t2.t159 t3.t2.t160))
% 3.15/3.34 (step t3.t2.t162 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t161))
% 3.15/3.34 (step t3.t2.t163 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a2))
% 3.15/3.34 (step t3.t2.t164 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule symm :premises (t3.t2.a39))
% 3.15/3.34 (step t3.t2.t165 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.t164))
% 3.15/3.34 (step t3.t2.t166 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t165 t3.t2.t39))
% 3.15/3.34 (step t3.t2.t167 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.a38))
% 3.15/3.34 (step t3.t2.t168 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule refl)
% 3.15/3.34 (step t3.t2.t169 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule symm :premises (t3.t2.a5))
% 3.15/3.34 (step t3.t2.t170 (cl (= (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t169 t3.t2.t39))
% 3.15/3.34 (step t3.t2.t171 (cl (= (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule trans :premises (t3.t2.t170 t3.t2.a2))
% 3.15/3.34 (step t3.t2.t172 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule cong :premises (t3.t2.t168 t3.t2.t171))
% 3.15/3.34 (step t3.t2.t173 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule trans :premises (t3.t2.t163 t3.t2.t166 t3.t2.t167 t3.t2.t172))
% 3.15/3.34 (step t3.t2.t174 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule cong :premises (t3.t2.t162 t3.t2.t173))
% 3.15/3.34 (step t3.t2.t175 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule symm :premises (t3.t2.a37))
% 3.15/3.34 (step t3.t2.t176 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule trans :premises (t3.t2.a3 t3.t2.t174 t3.t2.t175))
% 3.15/3.34 (step t3.t2.t177 (cl (= (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t3.t2.a101))
% 3.15/3.34 (step t3.t2.t178 (cl (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule symm :premises (t3.t2.t177))
% 3.15/3.34 (step t3.t2.t179 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))) :rule symm :premises (t3.t2.a83))
% 3.15/3.34 (step t3.t2.t180 (cl (= (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))))) :rule symm :premises (t3.t2.a82))
% 3.15/3.34 (step t3.t2.t181 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule symm :premises (t3.t2.t180))
% 3.15/3.34 (step t3.t2.t182 (cl (= (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule cong :premises (t3.t2.t98 t3.t2.t17))
% 3.15/3.34 (step t3.t2.t183 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule trans :premises (t3.t2.t179 t3.t2.t181 t3.t2.t182 t3.t2.t70))
% 3.15/3.34 (step t3.t2.t184 (cl (= (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule cong :premises (t3.t2.t3 t3.t2.t183))
% 3.15/3.34 (step t3.t2.t185 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule symm :premises (t3.t2.a100))
% 3.15/3.34 (step t3.t2.t186 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t185))
% 3.15/3.34 (step t3.t2.t187 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule cong :premises (t3.t2.t168 t3.t2.a2))
% 3.15/3.34 (step t3.t2.t188 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule trans :premises (t3.t2.a5 t3.t2.t187))
% 3.15/3.34 (step t3.t2.t189 (cl (= (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a99))
% 3.15/3.34 (step t3.t2.t190 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t189))
% 3.15/3.34 (step t3.t2.t191 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule refl)
% 3.15/3.34 (step t3.t2.t192 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.t13 t3.t2.t191 t3.t2.t44))
% 3.15/3.34 (step t3.t2.t193 (cl (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a97))
% 3.15/3.34 (step t3.t2.t194 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule symm :premises (t3.t2.a86))
% 3.15/3.34 (step t3.t2.t195 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t192 t3.t2.t193 t3.t2.t194))
% 3.15/3.34 (step t3.t2.t196 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t195))
% 3.15/3.34 (step t3.t2.t197 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t36 t3.t2.t196))
% 3.15/3.34 (step t3.t2.t198 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t36))
% 3.15/3.34 (step t3.t2.t199 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) :rule cong :premises (t3.t2.t198 t3.t2.t44))
% 3.15/3.34 (step t3.t2.t200 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t199))
% 3.15/3.34 (step t3.t2.t201 (cl (= (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t197 t3.t2.t200))
% 3.15/3.34 (step t3.t2.t202 (cl (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))))) :rule symm :premises (t3.t2.a90))
% 3.15/3.34 (step t3.t2.t203 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.a89))
% 3.15/3.34 (step t3.t2.t204 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t203 t3.t2.t136))
% 3.15/3.34 (step t3.t2.t205 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t191 t3.t2.t204))
% 3.15/3.34 (step t3.t2.t206 (cl (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t202 t3.t2.t205 t3.t2.t194))
% 3.15/3.34 (step t3.t2.t207 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule symm :premises (t3.t2.t206))
% 3.15/3.34 (step t3.t2.t208 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule refl)
% 3.15/3.34 (step t3.t2.t209 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule symm :premises (t3.t2.a96))
% 3.15/3.34 (step t3.t2.t210 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t209))
% 3.15/3.34 (step t3.t2.t211 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a95))
% 3.15/3.34 (step t3.t2.t212 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule cong :premises (t3.t2.t39 t3.t2.t48))
% 3.15/3.34 (step t3.t2.t213 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t211 t3.t2.t212 t3.t2.a29))
% 3.15/3.34 (step t3.t2.t214 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.a29 t3.t2.t213))
% 3.15/3.34 (step t3.t2.t215 (cl (= (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule symm :premises (t3.t2.a29))
% 3.15/3.34 (step t3.t2.t216 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule cong :premises (t3.t2.t39 t3.t2.t63))
% 3.15/3.34 (step t3.t2.t217 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.t216))
% 3.15/3.34 (step t3.t2.t218 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule symm :premises (t3.t2.a91))
% 3.15/3.34 (step t3.t2.t219 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule cong :premises (t3.t2.t218 t3.t2.t75))
% 3.15/3.34 (step t3.t2.t220 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t219 t3.t2.t67))
% 3.15/3.34 (step t3.t2.t221 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t140 t3.t2.t220))
% 3.15/3.34 (step t3.t2.t222 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) :rule symm :premises (t3.t2.t221))
% 3.15/3.34 (step t3.t2.t223 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.a93))
% 3.15/3.34 (step t3.t2.t224 (cl (= (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule trans :premises (t3.t2.t215 t3.t2.t217 t3.t2.a92 t3.t2.t222 t3.t2.t223))
% 3.15/3.34 (step t3.t2.t225 (cl (= (tptp.meet (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t215 t3.t2.t224))
% 3.15/3.34 (step t3.t2.t226 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t218 t3.t2.t140))
% 3.15/3.34 (step t3.t2.t227 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule trans :premises (t3.t2.t226 t3.t2.t151))
% 3.15/3.34 (step t3.t2.t228 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule cong :premises (t3.t2.t227 t3.t2.t75))
% 3.15/3.34 (step t3.t2.t229 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2))) :rule symm :premises (t3.t2.t228))
% 3.15/3.34 (step t3.t2.t230 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule refl)
% 3.15/3.34 (step t3.t2.t231 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t229 t3.t2.t230))
% 3.15/3.34 (step t3.t2.t232 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule trans :premises (t3.t2.t210 t3.t2.t214 t3.t2.t225 t3.t2.t231))
% 3.15/3.34 (step t3.t2.t233 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule cong :premises (t3.t2.t208 t3.t2.t232))
% 3.15/3.34 (step t3.t2.t234 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule symm :premises (t3.t2.a94))
% 3.15/3.34 (step t3.t2.t235 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule symm :premises (t3.t2.t234))
% 3.15/3.34 (step t3.t2.t236 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t208 t3.t2.t228))
% 3.15/3.34 (step t3.t2.t237 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t236 t3.t2.t136 t3.t2.t111))
% 3.15/3.34 (step t3.t2.t238 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.t237 t3.t2.t110))
% 3.15/3.34 (step t3.t2.t239 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) :rule symm :premises (t3.t2.t223))
% 3.15/3.34 (step t3.t2.t240 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.a92))
% 3.15/3.34 (step t3.t2.t241 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule trans :premises (t3.t2.t239 t3.t2.t221 t3.t2.t240 t3.t2.t216))
% 3.15/3.34 (step t3.t2.t242 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t238 t3.t2.t241))
% 3.15/3.34 (step t3.t2.t243 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule trans :premises (t3.t2.t111 t3.t2.t127))
% 3.15/3.34 (step t3.t2.t244 (cl (= (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t243 t3.t2.t140))
% 3.15/3.34 (step t3.t2.t245 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule trans :premises (t3.t2.t137 t3.t2.t233 t3.t2.t235 t3.t2.t242 t3.t2.t244))
% 3.15/3.34 (step t3.t2.t246 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t207 t3.t2.t245))
% 3.15/3.34 (step t3.t2.t247 (cl (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule refl)
% 3.15/3.34 (step t3.t2.t248 (cl (= (tptp.meet (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t206 t3.t2.t247))
% 3.15/3.34 (step t3.t2.t249 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t13 t3.t2.t247))
% 3.15/3.34 (step t3.t2.t250 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule symm :premises (t3.t2.t249))
% 3.15/3.34 (step t3.t2.t251 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule trans :premises (t3.t2.a86 t3.t2.t246 t3.t2.t248 t3.t2.t250))
% 3.15/3.34 (step t3.t2.t252 (cl (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule symm :premises (t3.t2.a88))
% 3.15/3.34 (step t3.t2.t253 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.t252))
% 3.15/3.34 (step t3.t2.t254 (cl (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule symm :premises (t3.t2.a87))
% 3.15/3.34 (step t3.t2.t255 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.t254))
% 3.15/3.34 (step t3.t2.t256 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule refl)
% 3.15/3.34 (step t3.t2.t257 (cl (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t194 t3.t2.t256))
% 3.15/3.34 (step t3.t2.t258 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t255 t3.t2.t257 t3.t2.t194))
% 3.15/3.34 (step t3.t2.t259 (cl (= (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t258 t3.t2.t140))
% 3.15/3.34 (step t3.t2.t260 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule trans :premises (t3.t2.t249 t3.t2.t253 t3.t2.t259))
% 3.15/3.34 (step t3.t2.t261 (cl (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.a85))
% 3.15/3.34 (step t3.t2.t262 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule symm :premises (t3.t2.t261))
% 3.15/3.34 (step t3.t2.t263 (cl (= (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule cong :premises (t3.t2.t37 t3.t2.t39 t3.t2.t75))
% 3.15/3.34 (step t3.t2.t264 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule trans :premises (t3.t2.t262 t3.t2.t263))
% 3.15/3.34 (step t3.t2.t265 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule trans :premises (t3.t2.t195 t3.t2.t251 t3.t2.t260 t3.t2.t264))
% 3.15/3.34 (step t3.t2.t266 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.a98))
% 3.15/3.34 (step t3.t2.t267 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule symm :premises (t3.t2.t266))
% 3.15/3.34 (step t3.t2.t268 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t36 t3.t2.t14))
% 3.15/3.34 (step t3.t2.t269 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule cong :premises (t3.t2.t268 t3.t2.t75))
% 3.15/3.34 (step t3.t2.t270 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule trans :premises (t3.t2.t269 t3.t2.t179 t3.t2.t181 t3.t2.t182 t3.t2.t70))
% 3.15/3.34 (step t3.t2.t271 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule trans :premises (t3.t2.t270 t3.t2.a67))
% 3.15/3.34 (step t3.t2.t272 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule cong :premises (t3.t2.t271 t3.t2.t29))
% 3.15/3.34 (step t3.t2.t273 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule trans :premises (t3.t2.t199 t3.t2.t267 t3.t2.t272 t3.t2.t68 t3.t2.a23))
% 3.15/3.34 (step t3.t2.t274 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t265 t3.t2.t273))
% 3.15/3.34 (step t3.t2.t275 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.a84))
% 3.15/3.34 (step t3.t2.t276 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t275))
% 3.15/3.34 (step t3.t2.t277 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule cong :premises (t3.t2.t153 t3.t2.t75))
% 3.15/3.34 (step t3.t2.t278 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule symm :premises (t3.t2.t160))
% 3.15/3.34 (step t3.t2.t279 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t278 t3.t2.t158))
% 3.15/3.34 (step t3.t2.t280 (cl (= (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t75 t3.t2.t279))
% 3.15/3.34 (step t3.t2.t281 (cl (= (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule symm :premises (t3.t2.a40))
% 3.15/3.34 (step t3.t2.t282 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule trans :premises (t3.t2.a29 t3.t2.t280 t3.t2.t281))
% 3.15/3.34 (step t3.t2.t283 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule trans :premises (t3.t2.t277 t3.t2.t282))
% 3.15/3.34 (step t3.t2.t284 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule cong :premises (t3.t2.t15 t3.t2.t75))
% 3.15/3.34 (step t3.t2.t285 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule trans :premises (t3.t2.t284 t3.t2.t179 t3.t2.t181 t3.t2.t182 t3.t2.t70))
% 3.15/3.34 (step t3.t2.t286 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t285 t3.t2.t39))
% 3.15/3.34 (step t3.t2.t287 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule trans :premises (t3.t2.t286 t3.t2.a2))
% 3.15/3.34 (step t3.t2.t288 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule cong :premises (t3.t2.t283 t3.t2.t287))
% 3.15/3.34 (step t3.t2.t289 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule refl)
% 3.15/3.34 (step t3.t2.t290 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t289 t3.t2.t163))
% 3.15/3.34 (step t3.t2.t291 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule symm :premises (t3.t2.a26))
% 3.15/3.34 (step t3.t2.t292 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.a21))
% 3.15/3.34 (step t3.t2.t293 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule refl)
% 3.15/3.34 (step t3.t2.t294 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a24))
% 3.15/3.34 (step t3.t2.t295 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t293 t3.t2.t294))
% 3.15/3.34 (step t3.t2.t296 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))) :rule symm :premises (t3.t2.t295))
% 3.15/3.34 (step t3.t2.t297 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t292 t3.t2.t293))
% 3.15/3.34 (step t3.t2.t298 (cl (= (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.a34))
% 3.15/3.34 (step t3.t2.t299 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a30))
% 3.15/3.34 (step t3.t2.t300 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t299))
% 3.15/3.34 (step t3.t2.t301 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t17 t3.t2.t215))
% 3.15/3.34 (step t3.t2.t302 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule symm :premises (t3.t2.a28))
% 3.15/3.34 (step t3.t2.t303 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule trans :premises (t3.t2.t300 t3.t2.t301 t3.t2.t302))
% 3.15/3.34 (step t3.t2.t304 (cl (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t98))
% 3.15/3.34 (step t3.t2.t305 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.t39 t3.t2.t304))
% 3.15/3.34 (step t3.t2.t306 (cl (= (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))))) :rule symm :premises (t3.t2.a32))
% 3.15/3.34 (step t3.t2.t307 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule symm :premises (t3.t2.t306))
% 3.15/3.34 (step t3.t2.t308 (cl (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule trans :premises (t3.t2.a23 t3.t2.t305 t3.t2.t307))
% 3.15/3.34 (step t3.t2.t309 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule cong :premises (t3.t2.a23 t3.t2.t308))
% 3.15/3.34 (step t3.t2.t310 (cl (= (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule symm :premises (t3.t2.a31))
% 3.15/3.34 (step t3.t2.t311 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule trans :premises (t3.t2.t309 t3.t2.t310))
% 3.15/3.34 (step t3.t2.t312 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule cong :premises (t3.t2.t303 t3.t2.t311))
% 3.15/3.34 (step t3.t2.t313 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.a27))
% 3.15/3.34 (step t3.t2.t314 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t313))
% 3.15/3.34 (step t3.t2.t315 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule trans :premises (t3.t2.t297 t3.t2.t298 t3.t2.t312 t3.t2.t314 t3.t2.t291))
% 3.15/3.34 (step t3.t2.t316 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule trans :premises (t3.t2.t292 t3.t2.a22))
% 3.15/3.34 (step t3.t2.t317 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule trans :premises (t3.t2.t315 t3.t2.t316))
% 3.15/3.34 (step t3.t2.t318 (cl (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a35))
% 3.15/3.34 (step t3.t2.t319 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.t318))
% 3.15/3.34 (step t3.t2.t320 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule cong :premises (t3.t2.t317 t3.t2.t319))
% 3.15/3.34 (step t3.t2.t321 (cl (= (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t320))
% 3.15/3.34 (step t3.t2.t322 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.a36))
% 3.15/3.34 (step t3.t2.t323 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule refl)
% 3.15/3.34 (step t3.t2.t324 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule cong :premises (t3.t2.t323 t3.t2.t316))
% 3.15/3.34 (step t3.t2.t325 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule symm :premises (t3.t2.t324))
% 3.15/3.34 (step t3.t2.t326 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule trans :premises (t3.t2.a78 t3.t2.t190 t3.t2.t201 t3.t2.t274 t3.t2.t276 t3.t2.t288 t3.t2.t290 t3.t2.t291 t3.t2.t292 t3.t2.a22 t3.t2.t296 t3.t2.a25 t3.t2.t321 t3.t2.t322 t3.t2.t325))
% 3.15/3.34 (step t3.t2.t327 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule cong :premises (t3.t2.t188 t3.t2.t326))
% 3.15/3.34 (step t3.t2.t328 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule trans :premises (t3.t2.t4 t3.t2.t178 t3.t2.t184 t3.t2.t186 t3.t2.t327))
% 3.15/3.34 (step t3.t2.t329 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))))) :rule cong :premises (t3.t2.t176 t3.t2.t328))
% 3.15/3.34 (step t3.t2.t330 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule refl)
% 3.15/3.34 (step t3.t2.t331 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule refl)
% 3.15/3.34 (step t3.t2.t332 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t322))
% 3.15/3.34 (step t3.t2.t333 (cl (= (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))))) :rule symm :premises (t3.t2.a25))
% 3.15/3.34 (step t3.t2.t334 (cl (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.a22))
% 3.15/3.34 (step t3.t2.t335 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule symm :premises (t3.t2.t292))
% 3.15/3.34 (step t3.t2.t336 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule trans :premises (t3.t2.t324 t3.t2.t332 t3.t2.t320 t3.t2.t333 t3.t2.t295 t3.t2.t334 t3.t2.t335))
% 3.15/3.34 (step t3.t2.t337 (cl (= (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule cong :premises (t3.t2.t331 t3.t2.t336))
% 3.15/3.34 (step t3.t2.t338 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule cong :premises (t3.t2.t330 t3.t2.t337))
% 3.15/3.34 (step t3.t2.t339 (cl (= (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule symm :premises (t3.t2.a20))
% 3.15/3.34 (step t3.t2.t340 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule symm :premises (t3.t2.t339))
% 3.15/3.34 (step t3.t2.t341 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule symm :premises (t3.t2.a19))
% 3.15/3.34 (step t3.t2.t342 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule symm :premises (t3.t2.t341))
% 3.15/3.34 (step t3.t2.t343 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule cong :premises (t3.t2.t161 t3.t2.a6))
% 3.15/3.34 (step t3.t2.t344 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a14))
% 3.15/3.34 (step t3.t2.t345 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t343 t3.t2.t344))
% 3.15/3.34 (step t3.t2.t346 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule trans :premises (t3.t2.t163 t3.t2.a1))
% 3.15/3.34 (step t3.t2.t347 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule cong :premises (t3.t2.t345 t3.t2.t346))
% 3.15/3.34 (step t3.t2.t348 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule refl)
% 3.15/3.34 (step t3.t2.t349 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a1))
% 3.15/3.34 (step t3.t2.t350 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t348 t3.t2.t349))
% 3.15/3.34 (step t3.t2.t351 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule trans :premises (t3.t2.t347 t3.t2.t350))
% 3.15/3.34 (step t3.t2.t352 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule refl)
% 3.15/3.34 (step t3.t2.t353 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule cong :premises (t3.t2.t161 t3.t2.t352))
% 3.15/3.34 (step t3.t2.t354 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule symm :premises (t3.t2.a3))
% 3.15/3.34 (step t3.t2.t355 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule trans :premises (t3.t2.t353 t3.t2.t354))
% 3.15/3.34 (step t3.t2.t356 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule cong :premises (t3.t2.t355 t3.t2.t168))
% 3.15/3.34 (step t3.t2.t357 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule trans :premises (t3.t2.t356 t3.t2.t163 t3.t2.a1))
% 3.15/3.34 (step t3.t2.t358 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))))) :rule cong :premises (t3.t2.t351 t3.t2.t357))
% 3.15/3.34 (step t3.t2.t359 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule refl)
% 3.15/3.34 (step t3.t2.t360 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule refl)
% 3.15/3.34 (step t3.t2.t361 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.a6 t3.t2.t360))
% 3.15/3.34 (step t3.t2.t362 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule trans :premises (t3.t2.a5 t3.t2.t361))
% 3.15/3.34 (step t3.t2.t363 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t362 t3.t2.t39))
% 3.15/3.34 (step t3.t2.t364 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t349 t3.t2.t363))
% 3.15/3.34 (step t3.t2.t365 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t359 t3.t2.t364))
% 3.15/3.34 (step t3.t2.t366 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule symm :premises (t3.t2.a13))
% 3.15/3.34 (step t3.t2.t367 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.a12))
% 3.15/3.34 (step t3.t2.t368 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.a11))
% 3.15/3.34 (step t3.t2.t369 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t368))
% 3.15/3.34 (step t3.t2.t370 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a4))
% 3.15/3.34 (step t3.t2.t371 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t370))
% 3.15/3.34 (step t3.t2.t372 (cl (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule cong :premises (t3.t2.t39 t3.t2.a2))
% 3.15/3.34 (step t3.t2.t373 (cl (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule trans :premises (t3.t2.t371 t3.t2.t372 t3.t2.t354))
% 3.15/3.34 (step t3.t2.t374 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule symm :premises (t3.t2.a10))
% 3.15/3.34 (step t3.t2.t375 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule symm :premises (t3.t2.t374))
% 3.15/3.34 (step t3.t2.t376 (cl (= (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule symm :premises (t3.t2.a6))
% 3.15/3.34 (step t3.t2.t377 (cl (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule symm :premises (t3.t2.t151))
% 3.15/3.34 (step t3.t2.t378 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule cong :premises (t3.t2.t360 t3.t2.t377))
% 3.15/3.34 (step t3.t2.t379 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))))) :rule symm :premises (t3.t2.a8))
% 3.15/3.34 (step t3.t2.t380 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) :rule symm :premises (t3.t2.a7))
% 3.15/3.34 (step t3.t2.t381 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule cong :premises (t3.t2.t168 t3.t2.t380))
% 3.15/3.34 (step t3.t2.t382 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t378 t3.t2.t379 t3.t2.t381))
% 3.15/3.34 (step t3.t2.t383 (cl (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule cong :premises (t3.t2.t376 t3.t2.t382))
% 3.15/3.34 (step t3.t2.t384 (cl (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) :rule trans :premises (t3.t2.t375 t3.t2.t383 t3.t2.t169))
% 3.15/3.34 (step t3.t2.t385 (cl (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule cong :premises (t3.t2.t373 t3.t2.t384))
% 3.15/3.34 (step t3.t2.t386 (cl (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule trans :premises (t3.t2.t342 t3.t2.t358 t3.t2.t365 t3.t2.t366 t3.t2.t367 t3.t2.t369 t3.t2.t385 t3.t2.t163))
% 3.15/3.34 (step t3.t2.t387 (cl (= (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule cong :premises (t3.t2.t386 t3.t2.t323))
% 3.15/3.34 (step t3.t2.t388 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule symm :premises (t3.t2.a0))
% 3.15/3.34 (step t3.t2.t389 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule trans :premises (t3.t2.t2 t3.t2.t4 t3.t2.t6 t3.t2.t34 t3.t2.t154 t3.t2.t156 t3.t2.t329 t3.t2.t338 t3.t2.t340 t3.t2.t387 t3.t2.t349 t3.t2.t388))
% 3.15/3.34 (step t3.t2 (cl (not (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join 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(tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (not (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (not (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) (not (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) (not (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (not (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (not (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) (not (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) (not (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (not (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (not (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) (not (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (not (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) (not (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) (not (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (not (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) :rule subproof :discharge (t3.t2.a0 t3.t2.a1 t3.t2.a2 t3.t2.a3 t3.t2.a4 t3.t2.a5 t3.t2.a6 t3.t2.a7 t3.t2.a8 t3.t2.a9 t3.t2.a10 t3.t2.a11 t3.t2.a12 t3.t2.a13 t3.t2.a14 t3.t2.a15 t3.t2.a16 t3.t2.a17 t3.t2.a18 t3.t2.a19 t3.t2.a20 t3.t2.a21 t3.t2.a22 t3.t2.a23 t3.t2.a24 t3.t2.a25 t3.t2.a26 t3.t2.a27 t3.t2.a28 t3.t2.a29 t3.t2.a30 t3.t2.a31 t3.t2.a32 t3.t2.a33 t3.t2.a34 t3.t2.a35 t3.t2.a36 t3.t2.a37 t3.t2.a38 t3.t2.a39 t3.t2.a40 t3.t2.a41 t3.t2.a42 t3.t2.a43 t3.t2.a44 t3.t2.a45 t3.t2.a46 t3.t2.a47 t3.t2.a48 t3.t2.a49 t3.t2.a50 t3.t2.a51 t3.t2.a52 t3.t2.a53 t3.t2.a54 t3.t2.a55 t3.t2.a56 t3.t2.a57 t3.t2.a58 t3.t2.a59 t3.t2.a60 t3.t2.a61 t3.t2.a62 t3.t2.a63 t3.t2.a64 t3.t2.a65 t3.t2.a66 t3.t2.a67 t3.t2.a68 t3.t2.a69 t3.t2.a70 t3.t2.a71 t3.t2.a72 t3.t2.a73 t3.t2.a74 t3.t2.a75 t3.t2.a76 t3.t2.a77 t3.t2.a78 t3.t2.a79 t3.t2.a80 t3.t2.a81 t3.t2.a82 t3.t2.a83 t3.t2.a84 t3.t2.a85 t3.t2.a86 t3.t2.a87 t3.t2.a88 t3.t2.a89 t3.t2.a90 t3.t2.a91 t3.t2.a92 t3.t2.a93 t3.t2.a94 t3.t2.a95 t3.t2.a96 t3.t2.a97 t3.t2.a98 t3.t2.a99 t3.t2.a100 t3.t2.a101 t3.t2.a102 t3.t2.a103))
% 3.15/3.34 (step t3.t3 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet 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tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule and_pos)
% 3.15/3.34 (step t3.t4 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule and_pos)
% 3.15/3.34 (step t3.t5 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule and_pos)
% 3.15/3.34 (step t3.t6 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule and_pos)
% 3.15/3.34 (step t3.t7 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.34 (step t3.t8 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.34 (step t3.t9 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) :rule and_pos)
% 3.15/3.34 (step t3.t10 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.15/3.34 (step t3.t11 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.15/3.34 (step t3.t12 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.15/3.34 (step t3.t13 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.34 (step t3.t14 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.34 (step t3.t15 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule and_pos)
% 3.15/3.34 (step t3.t16 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.34 (step t3.t17 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))))) :rule and_pos)
% 3.15/3.34 (step t3.t18 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.15/3.34 (step t3.t19 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.34 (step t3.t20 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule and_pos)
% 3.15/3.34 (step t3.t21 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.34 (step t3.t22 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule and_pos)
% 3.15/3.34 (step t3.t23 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))))) :rule and_pos)
% 3.15/3.34 (step t3.t24 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) :rule and_pos)
% 3.15/3.34 (step t3.t25 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t26 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule and_pos)
% 3.15/3.35 (step t3.t27 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule and_pos)
% 3.15/3.35 (step t3.t28 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))))) :rule and_pos)
% 3.15/3.35 (step t3.t29 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t30 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t31 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.15/3.35 (step t3.t32 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule and_pos)
% 3.15/3.35 (step t3.t33 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t34 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t35 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35 (step t3.t36 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35 (step t3.t37 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t38 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule and_pos)
% 3.15/3.35 (step t3.t39 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t40 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))))) :rule and_pos)
% 3.15/3.35 (step t3.t41 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) :rule and_pos)
% 3.15/3.35 (step t3.t42 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) :rule and_pos)
% 3.15/3.35 (step t3.t43 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t44 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.15/3.35 (step t3.t45 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) :rule and_pos)
% 3.15/3.35 (step t3.t46 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.15/3.35 (step t3.t47 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.15/3.35 (step t3.t48 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) :rule and_pos)
% 3.15/3.35 (step t3.t49 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.15/3.35 (step t3.t50 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35 (step t3.t51 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))))) :rule and_pos)
% 3.15/3.35 (step t3.t52 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.15/3.35 (step t3.t53 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.15/3.35 (step t3.t54 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule and_pos)
% 3.15/3.35 (step t3.t55 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35 (step t3.t56 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2))) :rule and_pos)
% 3.15/3.35 (step t3.t57 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35 (step t3.t58 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35 (step t3.t59 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) :rule and_pos)
% 3.15/3.35 (step t3.t60 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35 (step t3.t61 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.35 (step t3.t62 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t63 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t64 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t65 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t66 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t67 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.35 (step t3.t68 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3))) :rule and_pos)
% 3.15/3.35 (step t3.t69 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) :rule and_pos)
% 3.15/3.35 (step t3.t70 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.15/3.35 (step t3.t71 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule and_pos)
% 3.15/3.35 (step t3.t72 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) :rule and_pos)
% 3.15/3.35 (step t3.t73 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.36 (step t3.t74 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)))) :rule and_pos)
% 3.15/3.36 (step t3.t75 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.15/3.36 (step t3.t76 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.15/3.36 (step t3.t77 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36 (step t3.t78 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))))) :rule and_pos)
% 3.15/3.36 (step t3.t79 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.15/3.36 (step t3.t80 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.15/3.36 (step t3.t81 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36 (step t3.t82 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))))) :rule and_pos)
% 3.15/3.36 (step t3.t83 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36 (step t3.t84 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3))) :rule and_pos)
% 3.15/3.36 (step t3.t85 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1)))) :rule and_pos)
% 3.15/3.36 (step t3.t86 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) :rule and_pos)
% 3.15/3.36 (step t3.t87 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.36 (step t3.t88 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) :rule and_pos)
% 3.15/3.36 (step t3.t89 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36 (step t3.t90 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36 (step t3.t91 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) :rule and_pos)
% 3.15/3.36 (step t3.t92 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule and_pos)
% 3.15/3.36 (step t3.t93 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)))) :rule and_pos)
% 3.15/3.36 (step t3.t94 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)))) :rule and_pos)
% 3.15/3.36 (step t3.t95 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) :rule and_pos)
% 3.15/3.36 (step t3.t96 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2)))) :rule and_pos)
% 3.15/3.36 (step t3.t97 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))))) :rule and_pos)
% 3.15/3.36 (step t3.t98 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.36 (step t3.t99 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36 (step t3.t100 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) :rule and_pos)
% 3.15/3.36 (step t3.t101 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3))) :rule and_pos)
% 3.15/3.36 (step t3.t102 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36 (step t3.t103 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36 (step t3.t104 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)))) :rule and_pos)
% 3.15/3.36 (step t3.t105 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) :rule and_pos)
% 3.15/3.36 (step t3.t106 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))) :rule and_pos)
% 3.15/3.36 (step t3.t107 (cl (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3)) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme 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(tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet 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tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet 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tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet 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tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet 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tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 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tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a 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tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a 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(tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a 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tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet 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tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet 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tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet 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tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a 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(tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join 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tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet 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tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet 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tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet 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tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3)))))) :rule resolution :premises (t3.t2 t3.t3 t3.t4 t3.t5 t3.t6 t3.t7 t3.t8 t3.t9 t3.t10 t3.t11 t3.t12 t3.t13 t3.t14 t3.t15 t3.t16 t3.t17 t3.t18 t3.t19 t3.t20 t3.t21 t3.t22 t3.t23 t3.t24 t3.t25 t3.t26 t3.t27 t3.t28 t3.t29 t3.t30 t3.t31 t3.t32 t3.t33 t3.t34 t3.t35 t3.t36 t3.t37 t3.t38 t3.t39 t3.t40 t3.t41 t3.t42 t3.t43 t3.t44 t3.t45 t3.t46 t3.t47 t3.t48 t3.t49 t3.t50 t3.t51 t3.t52 t3.t53 t3.t54 t3.t55 t3.t56 t3.t57 t3.t58 t3.t59 t3.t60 t3.t61 t3.t62 t3.t63 t3.t64 t3.t65 t3.t66 t3.t67 t3.t68 t3.t69 t3.t70 t3.t71 t3.t72 t3.t73 t3.t74 t3.t75 t3.t76 t3.t77 t3.t78 t3.t79 t3.t80 t3.t81 t3.t82 t3.t83 t3.t84 t3.t85 t3.t86 t3.t87 t3.t88 t3.t89 t3.t90 t3.t91 t3.t92 t3.t93 t3.t94 t3.t95 t3.t96 t3.t97 t3.t98 t3.t99 t3.t100 t3.t101 t3.t102 t3.t103 t3.t104 t3.t105 t3.t106))
% 3.17/3.38 (step t3.t108 (cl (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet 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tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet 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tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet 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tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet 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tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 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tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a 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tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a 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(tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a 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tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet 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tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet 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tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet 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tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a 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(tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join 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tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet 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tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) 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(tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet 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tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet 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(tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a 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(tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= tptp.z2 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= tptp.z3 (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet tptp.z3 (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z3 (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join tptp.z3 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3))) (= (tptp.meet tptp.z2 tptp.z3) (tptp.meet tptp.z3 tptp.z2)) (= (tptp.meet tptp.z3 (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.z3 tptp.z2) (tptp.join tptp.z2 tptp.z3))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (= (tptp.join tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join tptp.z3 (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.z2 (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (= tptp.z2 (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.join tptp.z3 tptp.z2) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z3 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.z2 tptp.z3) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= tptp.a (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)))) (= (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.z1))) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet tptp.z2 (tptp.join tptp.z2 tptp.z3)) (tptp.meet tptp.a tptp.z1))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1))) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2)) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet (tptp.join tptp.a (tptp.meet tptp.a tptp.z1)) (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3)))) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3)))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (tptp.meet (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.meet (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join tptp.z2 (tptp.meet tptp.z2 tptp.z3))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (tptp.upme (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.meet tptp.z2 tptp.z3))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) tptp.z2) tptp.z3)) (= (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.join (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.join tptp.z2 tptp.z3))) (tptp.meet tptp.z2 tptp.z3)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z2))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.join (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) (tptp.meet (tptp.meet (tptp.join tptp.z2 tptp.z3) (tptp.meet tptp.a tptp.z1)) tptp.z3))))) (not (and (= (tptp.lome (tptp.meet tptp.a tptp.z1) tptp.z2 tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2))) (= (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet tptp.a (tptp.meet tptp.z1 tptp.z2)))) (= (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3))))) (= (tptp.meet tptp.a tptp.z1) (tptp.join (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.join tptp.z2 tptp.z3)))) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet tptp.a tptp.z1)) tptp.z3)) (= (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.join (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (tptp.join (tptp.join (tptp.upme (tptp.meet tptp.a (tptp.meet tptp.z1 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2))) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2)))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (= (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (tptp.join (tptp.join (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3))) (tptp.meet (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.meet tptp.z2 (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))))) (= (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (= (tptp.join (tptp.upme (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2) (tptp.meet (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3) tptp.z2)) (tptp.meet (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)) tptp.z2) (tptp.join (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z2) (tptp.meet (tptp.meet tptp.a tptp.z1) tptp.z3)))) (=